Spectral and correlation properties of rings of delay-coupled elements:Comparing linear and nonlinear systems

D'Huys, O., Fischer, I., Danckaert, J. and Vicente, R. (2012). Spectral and correlation properties of rings of delay-coupled elements:Comparing linear and nonlinear systems. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 85 (5),

Abstract

The dynamical properties of delay-coupled systems are currently of great interest. So far the analysis has concentrated primarily on identical synchronization properties. Here we study the dynamics of rings of delay-coupled nodes, a topology that cannot show identical synchronization, and compare its properties to those of linear stochastic maps. We find that, in the long delay limit, the correlation functions and spectra of delay-coupled rings of nonlinear systems obey the same scaling laws as linear systems, indicating that important properties of the emerging solution result from network topology.

Publication DOI: https://doi.org/10.1103/PhysRevE.85.056209
Divisions: Engineering & Applied Sciences
Additional Information: ©2012 American Physical Society. Spectral and correlation properties of rings of delay-coupled elements: Comparing linear and nonlinear systems. O. D'Huys, I. Fischer, J. Danckaert, and R. Vicente Phys. Rev. E 85, 056209 – Published 15 May 2012
Uncontrolled Keywords: Statistical and Nonlinear Physics,Statistics and Probability,Condensed Matter Physics
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2012-05-15
Authors: D'Huys, O. ( 0000-0001-7498-6771)
Fischer, I.
Danckaert, J.
Vicente, R.

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